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Prove that n(n+5) + 2(n+3) is always a product of two numbers with a difference of 5.

n(n+5)+2(n+3) = n2+5n+2n+6 = n2+7n +6 = (n+6)(n+1) = (n+6) x (n+1).
The difference between (n+6) and (n+1) is 5, so this is a product of two numbers with a difference of 5.

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Answered by Eleanor G. Maths tutor
3997 Views

When should I use the subjunctive mood?

Unlike a tense such as past or present, the subjunctive mood refers to the attitude of the speaker. The subjunctive is commonly used to express doubt, desire, wishes, requests and more. A good way to reme...

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Answered by Phoebe H. Spanish tutor
1544 Views

A ball is released from rest at a height of 4m. At what speed does it hit the ground?

First write out information from the question.s=4m u=0m/s v=? a=9.8m/s2 t=Choose correct "suvat" equation: v2=u2+2asSubstitute in known variables.Obtain v= 8...

MA
Answered by Molly A. Maths tutor
3572 Views

Explain how the geography of California has led to the state's 'disaster hotspot' status.

A disaster hotspot is an area subjected to a risk from at least two alternative hazards. California is at risk from a variety of geographical hazards, with earthquakes being a prominent o...

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Answered by Sam G. Geography tutor
4612 Views

Explain how fold mountains are formed.

Fold mountains are a landform and are found at both active destructive plate margins and former destructive plate margins. This means that the two plates are moving together (or colliding). The sedimentar...

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Answered by Sam G. Geography tutor
9356 Views

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